Q:

# How Do You Make a Factor Tree?

A:

Numbers that multiply to give you a larger number are called factors. Use a factor tree for an easy way to factor larger numbers.

## Keep Learning

Credit: woodleywonderworks CC-BY-2.0

1. ### Write the number

Write the number you are asked to factor at the top of a piece of paper.

2. ### Break the number down once

Determine two numbers that can be multiplied together to create the number you wrote down. Draw a small, vertical line under the first number slightly to the left. Write the first factor under this line. Draw a second vertical line under the first number slightly to the right. Write the second factor under this line.

3. ### Break down the factors

Calculate two numbers that can be multiplied to create the first factor of the larger number. Draw two vertical lines under the first factor, and write the two numbers. Determine two numbers that can be multiplied to create the second factor. Draw two lines under the second factor, and write these two numbers.

4. ### Continue the steps

Continue these steps of breaking down numbers until you reach a prime number, or a number that is only divisible by itself and 1. Your factor tree is finished when you reach all prime numbers. The resultant prime numbers are the factors of the number you started with.

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